The efficiency of A, B, and C are in the ratio 5 : 6 : 9. Working together, they can complete a work in 18 days. In how many days B can alone complete 25% of the work?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 15
Ratio of efficiency = A : B : C = 5 : 6 : 9
Total efficiency = 5x + 6x + 9x = 20x per day
So,
Total work = Time × Efficiency = 18 × 20x = 360x
1/4th of work = 360x/4 = 90x
B's efficiency = 6x
So,
B alone can complete 25% of the work in = 90x/6x = 15 days